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133301342000 = 2453292818179
BaseRepresentation
bin111110000100101100…
…0010000111100110000
3110202001222222210110202
41330021120100330300
54141000120421000
6141123210214332
712426221466101
oct1741130207460
9422058883422
10133301342000
1151595150252
1221a024243a8
13c754b36938
146647b143a8
153702acddd5
hex1f09610f30

133301342000 has 160 divisors (see below), whose sum is σ = 334664740800. Its totient is φ = 51292416000.

The previous prime is 133301341973. The next prime is 133301342003. The reversal of 133301342000 is 243103331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (133301342003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16293911 + ... + 16302089.

It is an arithmetic number, because the mean of its divisors is an integer number (2091654630).

Almost surely, 2133301342000 is an apocalyptic number.

133301342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133301342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167332370400).

133301342000 is an abundant number, since it is smaller than the sum of its proper divisors (201363398800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133301342000 is a wasteful number, since it uses less digits than its factorization.

133301342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133301342000 its reverse (243103331), we get a palindrome (133544445331).

The spelling of 133301342000 in words is "one hundred thirty-three billion, three hundred one million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 281 290 400 464 500 562 580 725 1000 1124 1160 1405 1450 2000 2248 2320 2810 2900 3625 4496 5620 5800 7025 7250 8149 8179 11240 11600 14050 14500 16298 16358 22480 28100 29000 32596 32716 35125 40745 40895 56200 58000 65192 65432 70250 81490 81790 112400 130384 130864 140500 162980 163580 203725 204475 237191 281000 325960 327160 407450 408950 474382 562000 651920 654320 814900 817900 948764 1018625 1022375 1185955 1629800 1635800 1897528 2037250 2044750 2298299 2371910 3259600 3271600 3795056 4074500 4089500 4596598 4743820 5929775 8149000 8179000 9193196 9487640 11491495 11859550 16298000 16358000 18386392 18975280 22982990 23719100 29648875 36772784 45965980 47438200 57457475 59297750 66650671 91931960 94876400 114914950 118595500 133301342 183863920 229829900 237191000 266602684 287287375 333253355 459659800 474382000 533205368 574574750 666506710 919319600 1066410736 1149149500 1333013420 1666266775 2298299000 2666026840 3332533550 4596598000 5332053680 6665067100 8331333875 13330134200 16662667750 26660268400 33325335500 66650671000 133301342000